Check Whether Two Sides Name the Same Amount
Draw each sum as two small parts and count its total.
About 12 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: The sentence 2 + 3 = 4 + 1 is true.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
The equal sign means that both sides name the same amount. It does not mean to write any answer after it. You can build each side with marks and match the totals. Different splits can still name one equal whole.
Draw each sum as two small parts and count its total. Compare the totals rather than the individual parts. Choose the missing part that makes the two totals match.
Build each side separately before comparing. Different parts can have equal totals. Draw the left total and the right total on separate rows.
- Draw the left total and the right total on separate rows.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Draw each sum as two small parts and count its total.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
The sentence 2 + 3 = 4 + 1 is true. The left side names five marks, and the right side also names five. The parts are different but the totals match. In 2 + 3 = 4 + 2, the right side is six, so it does not balance.
Check your reasoning
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Helpful tips
- Build each side separately before comparing.
- Different parts can have equal totals.
See the answer and explanation
2
Both sides must have the same total. The result is 2.
Take it further
Check 1+4=2+3 with drawings. Expected: both sides equal 5.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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